Question

question
put the following equation of a line into slope-intercept form, simplifying all fractions.
9x + 6y = 42

Explanation:

Step1: Isolate the y-term

Subtract $9x$ from both sides.
$6y = -9x + 42$

Step2: Solve for y

Divide all terms by 6.
$y = \frac{-9}{6}x + \frac{42}{6}$

Step3: Simplify fractions

Reduce fractions to lowest terms.
$y = -\frac{3}{2}x + 7$

Answer:

$y = -\frac{3}{2}x + 7$